165320640 has 168 divisors, whose sum is σ = 574151760. Its totient is φ = 43659264.

The previous prime is 165320611. The next prime is 165320657. The reversal of 165320640 is 46023561.

165320640 is a `hidden beast` number, since 1 + 653 + 2 + 0 + 6 + 4 + 0 = 666.

165320640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394351 + ... + 394769.

It is an arithmetic number, because the mean of its divisors is an integer number (3417570).

Almost surely, 2^165320640 is an apocalyptic number.

165320640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287075880).

165320640 is an abundant number, since it is smaller than the sum of its proper divisors (408831120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165320640 is a wasteful number, since it uses less digits than its factorization.

165320640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 165320640 is about 12857.7074161765. The cubic root of 165320640 is about 548.8357078541.

The spelling of 165320640 in words is "one hundred sixty-five million, three hundred twenty thousand, six hundred forty".